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Finding the Fourth Proportional to 267,057,101.80, 400,585,652.70 and 201,583,570.60

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Solution

The fourth proportional to 267,057,101.80, 400,585,652.70 and 201,583,570.60 is: 302,375,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,057,101.80 : 400,585,652.70 = 201,583,570.60 : x
  2. Step 2: Convert to fraction form
    267,057,101.80/400,585,652.70 = 201,583,570.60/x
  3. Step 3: Cross multiply
    267,057,101.80x = 400,585,652.70 × 201,583,570.60
  4. Step 4: Simplify right side
    267,057,101.80x = 80,751,486,202,397,520
  5. Step 5: Solve for x
    x = 80,751,486,202,397,520/267,057,101.80
  6. Step 6: Final answer
    x = 302,375,355.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.